The cube

The cube and cylinder weigh the same as three 20-gram weights. Three cubes and one cylinder weigh the same as two cylinders and one cube. How many grams does one cube weigh (and one cylinder)?

Correct answer:

k =  20 g

Step-by-step explanation:


k+v = 3·20
3k+v = 2v+k

k+v = 3·20
3·k+v = 2·v+k

k+v = 60
2k-v = 0

Pivot: Row 1 ↔ Row 2
2k-v = 0
k+v = 60

Row 2 - 1/2 · Row 1 → Row 2
2k-v = 0
1.5v = 60


v = 60/1.5 = 40
k = 0+v/2 = 0+40/2 = 20

k = 20
v = 40

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